TSTP Solution File: SYN713-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN713-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 12:12:01 EDT 2024

% Result   : Unsatisfiable 0.14s 0.32s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   25 (  14 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  17   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  15 con; 0-2 aty)
%            Number of variables   :   35 (  35   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f456,plain,
    $false,
    inference(subsumption_resolution,[],[f454,f39]) ).

fof(f39,axiom,
    ~ p57(f26(f28(c71,f41(c78,c64)),c67),c77),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p57_39) ).

fof(f454,plain,
    p57(f26(f28(c71,f41(c78,c64)),c67),c77),
    inference(resolution,[],[f451,f74]) ).

fof(f74,axiom,
    ! [X104,X102,X103] :
      ( ~ p57(f26(X102,X103),X104)
      | p57(f26(f28(c71,X102),X103),X104) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_74) ).

fof(f451,plain,
    p57(f26(f41(c78,c64),c67),c77),
    inference(resolution,[],[f450,f101]) ).

fof(f101,axiom,
    ! [X205,X206,X207] :
      ( ~ p56(f11(c65,f14(f17(c66,X206),f23(c74,X207))),X205)
      | p57(f26(f41(c78,X205),X206),X207) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p57_101) ).

fof(f450,plain,
    p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),c64),
    inference(resolution,[],[f433,f14]) ).

fof(f14,axiom,
    ! [X13] : p40(X13,X13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p40_14) ).

fof(f433,plain,
    ! [X0] :
      ( ~ p40(c64,X0)
      | p56(f11(c65,f14(f17(c66,c67),f23(c74,c77))),X0) ),
    inference(resolution,[],[f349,f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ~ p4(f11(c65,f14(f17(c66,c67),c68)),X1)
      | ~ p40(c64,X0)
      | p56(X1,X0) ),
    inference(resolution,[],[f76,f38]) ).

fof(f38,axiom,
    p56(f11(c65,f14(f17(c66,c67),c68)),c64),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_38) ).

fof(f76,axiom,
    ! [X111,X109,X112,X110] :
      ( ~ p56(X112,X111)
      | ~ p40(X111,X110)
      | ~ p4(X112,X109)
      | p56(X109,X110) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p56_76) ).

fof(f349,plain,
    ! [X0,X1] : p4(f11(X0,f14(X1,c68)),f11(X0,f14(X1,f23(c74,c77)))),
    inference(resolution,[],[f337,f201]) ).

fof(f201,plain,
    ! [X2,X0,X1] :
      ( ~ p10(X0,X1)
      | p4(f11(X2,X0),f11(X2,X1)) ),
    inference(resolution,[],[f87,f2]) ).

fof(f2,axiom,
    ! [X1] : p9(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).

fof(f87,axiom,
    ! [X152,X150,X151,X149] :
      ( ~ p9(X149,X151)
      | ~ p10(X150,X152)
      | p4(f11(X149,X150),f11(X151,X152)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4_87) ).

fof(f337,plain,
    ! [X0] : p10(f14(X0,c68),f14(X0,f23(c74,c77))),
    inference(resolution,[],[f330,f185]) ).

fof(f185,plain,
    ! [X2,X0,X1] :
      ( ~ p13(X0,X1)
      | p10(f14(X2,X0),f14(X2,X1)) ),
    inference(resolution,[],[f81,f34]) ).

fof(f34,axiom,
    ! [X33] : p12(X33,X33),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_34) ).

fof(f81,axiom,
    ! [X126,X127,X125,X128] :
      ( ~ p12(X125,X127)
      | ~ p13(X126,X128)
      | p10(f14(X125,X126),f14(X127,X128)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_81) ).

fof(f330,plain,
    p13(c68,f23(c74,c77)),
    inference(subsumption_resolution,[],[f329,f80]) ).

fof(f80,axiom,
    ~ p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p58_80) ).

fof(f329,plain,
    ( p13(c68,f23(c74,c77))
    | p58(f31(f33(c75,c76),f23(c69,c77)),f19(f22(c70,c69),c68)) ),
    inference(resolution,[],[f105,f35]) ).

fof(f35,axiom,
    p59(f38(c72,c77),f35(c73,c68)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p59_35) ).

fof(f105,axiom,
    ! [X212,X211] :
      ( ~ p59(f38(c72,X212),f35(c73,X211))
      | p13(X211,f23(c74,X212))
      | p58(f31(f33(c75,c76),f23(c69,X212)),f19(f22(c70,c69),X211)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13_105) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09  % Problem    : SYN713-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 17:25:23 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.10/0.30  % (25651)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.31  % (25654)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.31  % (25656)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.31  % (25658)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32  % (25657)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.32  % (25652)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32  % (25655)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.32  % (25653)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32  TRYING [1]
% 0.14/0.32  % (25656)First to succeed.
% 0.14/0.32  % (25656)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25651"
% 0.14/0.32  TRYING [2]
% 0.14/0.32  % (25656)Refutation found. Thanks to Tanya!
% 0.14/0.32  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.32  % (25656)------------------------------
% 0.14/0.32  % (25656)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.32  % (25656)Termination reason: Refutation
% 0.14/0.32  
% 0.14/0.32  % (25656)Memory used [KB]: 1020
% 0.14/0.32  % (25656)Time elapsed: 0.008 s
% 0.14/0.32  % (25656)Instructions burned: 17 (million)
% 0.14/0.32  % (25651)Success in time 0.021 s
%------------------------------------------------------------------------------